Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	214×	body	80	valid
3.0ms	17×	body	1280	valid
3.0ms	22×	body	640	valid
2.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid

simplify21.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	27	9
3	68	9
4	172	9
5	369	9
6	713	9
7	1265	9
8	2308	9
9	2938	9
10	3126	9
11	3433	9
12	3764	9
13	4169	9
14	4312	9
15	4395	9
16	4419	9
done	4419	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 1.0 y))
2.5b	(+ x (* (- 1.0 x) (- 1.0 y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

17.0ms	(* (- 1.0 x) (- 1.0 y))
3.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

series44.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (- 1.0 x) (- 1.0 y))
23.0ms	(+ x (* (- 1.0 x) (- 1.0 y)))

simplify2.2s

Counts

55 → 55

Iterations

Useful iterations: 3 (912.0ms)

Iter	Nodes	Cost
0	101	691
1	276	649
2	1028	617
3	4535	611
done	5000	611

prune109.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

10.0ms

(* y (- x 1.0))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* y (- x 1.0))

simplify1.2s

Counts

29 → 29

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	52	217
1	112	206
2	278	186
3	786	186
4	2099	186
done	5000	186

prune41.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample438.0ms

Algorithm

intervals

Results

144.0ms	6977×	body	80	valid
61.0ms	818×	body	640	valid
38.0ms	427×	body	1280	valid
34.0ms	576×	body	320	valid
12.0ms	314×	body	160	valid